Year 5 Maths: Writing Decimals as Percentages

Introduction

Hello, Year 5! Today, we’re going to learn about writing decimals as percentages. This is an important skill in maths, and once you understand it, you’ll find it really useful!

What is a Decimal?

A decimal is a way to show numbers that are not whole. For example, 0.5 and 0.75 are decimals.

What is a Percentage?

A percentage is a way to show a number out of 100. For example, 50% means 50 out of 100.

How to Convert Decimals to Percentages

To change a decimal into a percentage, you can follow these simple steps:

1. Multiply the decimal by 100.
2. Add the percent sign (%) after the number.

Example 1: Convert 0.25 to a Percentage

1. Multiply: $$0.25 \times 100 = 25$$
2. Add the percent sign:So, 0.25 = 25%

Example 2: Convert 0.6 to a Percentage

1. Multiply: $$0.6 \times 100 = 60$$
2. Add the percent sign:So, 0.6 = 60%

Example 3: Convert 0.05 to a Percentage

1. Multiply: $$0.05 \times 100 = 5$$
2. Add the percent sign:So, 0.05 = 5%

Key Rules

• Remember to multiply by 100!
• Don’t forget the percent sign (%)!

Tips and Tricks

• If you find multiplying by 100 tricky, you can also move the decimal point two places to the right. For example, 0.25 becomes 25 when you move the decimal point two places.
• Practice with different decimals to get the hang of it!

Practice Questions

Now it’s time for some practice! Try these questions to test your understanding.

Easy Level Questions

1. Write 0.1 as a percentage.
2. Write 0.3 as a percentage.
3. Write 0.75 as a percentage.
4. Write 0.9 as a percentage.
5. Write 0.2 as a percentage.
6. Write 0.05 as a percentage.
7. Write 0.4 as a percentage.
8. Write 0.8 as a percentage.
9. Write 0.33 as a percentage.
10. Write 0.01 as a percentage.
11. Write 0.7 as a percentage.
12. Write 0.15 as a percentage.
13. Write 0.6 as a percentage.
14. Write 0.45 as a percentage.
15. Write 0.99 as a percentage.
16. Write 0.25 as a percentage.
17. Write 0.5 as a percentage.
18. Write 0.02 as a percentage.
19. Write 0.4 as a percentage.
20. Write 0.8 as a percentage.

Medium Level Questions

1. Write 1.2 as a percentage.
2. Write 0.125 as a percentage.
3. Write 0.88 as a percentage.
4. Write 0.56 as a percentage.
5. Write 0.333 as a percentage.
6. Write 0.75 as a percentage.
7. Write 0.9 as a percentage.
8. Write 0.07 as a percentage.
9. Write 0.35 as a percentage.
10. Write 0.4 as a percentage.
11. Write 1.0 as a percentage.
12. Write 0.45 as a percentage.
13. Write 0.12 as a percentage.
14. Write 0.95 as a percentage.
15. Write 0.67 as a percentage.
16. Write 0.99 as a percentage.
17. Write 0.25 as a percentage.
18. Write 0.03 as a percentage.
19. Write 0.72 as a percentage.
20. Write 0.81 as a percentage.

Hard Level Questions

1. Write 0.001 as a percentage.
2. Write 0.875 as a percentage.
3. Write 1.5 as a percentage.
4. Write 0.256 as a percentage.
5. Write 0.938 as a percentage.
6. Write 1.25 as a percentage.
7. Write 0.666 as a percentage.
8. Write 0.555 as a percentage.
9. Write 0.04 as a percentage.
10. Write 0.002 as a percentage.
11. Write 0.789 as a percentage.
12. Write 0.3333 as a percentage.
13. Write 1.75 as a percentage.
14. Write 0.123 as a percentage.
15. Write 0.456 as a percentage.
16. Write 0.0005 as a percentage.
17. Write 0.9 as a percentage.
18. Write 0.062 as a percentage.
19. Write 0.999 as a percentage.
20. Write 0.005 as a percentage.

Answers

Easy Level Answers

1. 10%
2. 30%
3. 75%
4. 90%
5. 20%
6. 5%
7. 40%
8. 80%
9. 33%
10. 1%
11. 70%
12. 15%
13. 60%
14. 45%
15. 99%
16. 25%
17. 50%
18. 2%
19. 40%
20. 80%

Medium Level Answers

1. 120%
2. 12.5%
3. 88%
4. 56%
5. 33.3%
6. 75%
7. 90%
8. 7%
9. 35%
10. 40%
11. 100%
12. 45%
13. 12%
14. 95%
15. 67%
16. 99%
17. 25%
18. 3%
19. 72%
20. 81%

Hard Level Answers

1. 0.1%
2. 87.5%
3. 150%
4. 25.6%
5. 93.8%
6. 125%
7. 66.6%
8. 55.5%
9. 4%
10. 0.05%
11. 78.9%
12. 33.33%
13. 175%
14. 12.3%
15. 45.6%
16. 0.05%
17. 90%
18. 6.2%
19. 99.9%
20. 0.5%

Conclusion

Great job, Year 5! Now you know how to write decimals as percentages. Keep practicing, and you’ll become a pro in no time! If you have any questions, don’t hesitate to ask. Happy learning!